Cycles through prescribed vertices with large degree sum

Katsuhiro Ota

doi:10.1016/0012-365X(94)00036-I

Cycles through prescribed vertices with large degree sum

Katsuhiro Ota

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

Abstract

Let S be a set of vertices of a k-connected graph G. We denote the smallest sum of degrees of k + 1 independent vertices of S by σ_{k + 1}(S; G). We obtain a sharp lower bound of σ_{k + 1}(S; G) for the vertices of S to be contained in a common cycle of G. This result gives a sufficient condition for a k-connected graph to be hamiltonian.

Original language	English
Pages (from-to)	201-210
Number of pages	10
Journal	Discrete Mathematics
Volume	145
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(94)00036-I
Publication status	Published - 1995 Oct 13

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(94)00036-I

Cite this

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abstract = "Let S be a set of vertices of a k-connected graph G. We denote the smallest sum of degrees of k + 1 independent vertices of S by σk + 1(S; G). We obtain a sharp lower bound of σk + 1(S; G) for the vertices of S to be contained in a common cycle of G. This result gives a sufficient condition for a k-connected graph to be hamiltonian.",

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Cycles through prescribed vertices with large degree sum

Abstract

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